What is 37.25 percent of 48.75 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 48.75 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 48.75 is 100%, so we can write it down as 48.75=100%.
4. We know, that x is 37.25% of the output value, so we can write it down as x=37.25%.
5. Now we have two simple equations:
1) 48.75=100%
2) x=37.25%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
48.75/x=100%/37.25%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 37.25% of 48.75

48.75/x=100/37.25
(48.75/x)*x=(100/37.25)*x       - we multiply both sides of the equation by x
48.75=2.6845637583893*x       - we divide both sides of the equation by (2.6845637583893) to get x
48.75/2.6845637583893=x
18.159375=x
x=18.159375

now we have:
37.25% of 48.75=18.159375